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VLD [36.1K]
4 years ago
10

Is -2 + 4y +2=8x a direct variation equation

Mathematics
1 answer:
Anna35 [415]4 years ago
7 0

Direct variation

Explanation:

Given –2 + 4y + 2 = 8x.

To find the given expression –2 + 4y + 2 = 8x is direct variation or not.

If y varies directly as x, then y = kx.

If y varies inversely as x, then y=\frac{k}{x}

⇒ –2 + 4y + 2 = 8x

Combine like terms together.

⇒ –2 + 2 + 4y = 8x

⇒ 4y = 8x

Divide both sides of the equation by 4, we get

⇒ y = 2x

Which is in the format of y = kx.

Thus y varies directly as x.

Hence, –2 + 4y + 2 = 8x is direct variation.

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which statement best explains why the sum of the areas of the two white squares in figure 2 is the same as the area of why squar
Stella [2.4K]

Answer:

"In each figure the total area is equal and the area of the 4 triangles is equal, so the remaining white area in each figure must also be equal."

Step-by-step explanation:

Both figures make up congruent squares, and they are made up of 4 congruent triangles, so the white area in between must be equal between the two figures

3 0
3 years ago
The Pirerras are planning to go to Europe 3 years from now and have agreed to set aside $140/month for their trip. If they depos
Natalka [10]

Answer:

(a)$5805.21

(b)Least Expensive Mortgage =$120640.59

Most Expensive Mortgage =$152032.77

Step-by-step explanation:

The future value of an ordinary annuity with deposits P made regularly k times each year for n years, with interest compounded times k per year at an annual rate r, is given as:

F.V.=\dfrac{P[(1+i)^{kn}-1]}{i}

The Pirerra's Monthly Payments=$140

Annual Rate =9.5%

Therefore: Monthly Rate=0.095/12

Years, n=3

Period, k=12

F.V.=\dfrac{140[(1+\frac{0.095}{12} )^{3*12}-1]}{\frac{0.095}{12} }=\$5805.21

(b)For the Johnsons, Present value of Mortgage is derived using the formula:

\Text{Present Lump Sum}, A_0=\dfrac{P[1-(1+i)^{-kt}]}{\frac{r}{k} }

At $1000 Monthly payment

\Text{Present Lump Sum}, A_0=\dfrac{1000[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$104640.59

Adding  a down payment of $16000

  • Least Expensive Mortgage = 104640.59+16000=$120640.59

At $1300 Monthly Payment

\Text{Present Lump Sum}, A_0=\dfrac{1300[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$136032.77

Adding  a down payment of $16000

  • Most Expensive Mortgage = 136032.77+16000=$152032.77
4 0
3 years ago
Stella is making a juice-mix that uses apple juice and pomegranate juice in a 5:8 ratio. Which all of the following
SCORPION-xisa [38]

Answer:

She should buy some good quality juice so she can sell it and buy Chandler a ostrich.

Step-by-step explanation:

7 0
3 years ago
1) Jo Anne needs to do a speech in her English class that can't be more than 4 minutes
djyliett [7]

Answer:

( 0 < y < 23 / 6 ) mins

Step-by-step explanation:

Solution:-

We will define a variable ( x ) as the time it took for Jo Anne to give her speech at home.

The time taken to give her speech must always be less than 4 minutes. We can express this mathematically using an inequality as follows:

                              ( 0 < x < 4 ) minutes

Jo Anne gave her speech which was 10 seconds less than the one she practised at home. We will convert the time in seconds to minutes as follows:

                             10 s * \frac{min}{60 s}  = \frac{1}{6} min

The time taken by Jo Anne to complete her speech in English class can be represented as:

                             y = x - 1/6

Using the range of time that Jo Anne could take in delivering her speech in the class would be:

                                    0 < x < 4

                            0 - 1/6 < y < 4 - 1/6

                            -1/6 < y < 23 / 6

Since time can not be less than zero. We correct the lower limit to " 0 " as follows:

                              ( 0 < y < 23 / 6 ) mins

   

7 0
4 years ago
I need a little help i dont understand this question
Sveta_85 [38]

Answer: The answer would be

75

Step-by-step explanation:

If you do 75+75+30 it would add up to 180 which is what a triangle is worth.

3 0
3 years ago
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